249015330738 has 48 divisors (see below), whose sum is σ = 554560695000. Its totient is φ = 80696798208.

The previous prime is 249015330731. The next prime is 249015330749. The reversal of 249015330738 is 837033510942.

249015330738 is a `hidden beast` number, since 2 + 49 + 0 + 1 + 533 + 0 + 73 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 248994014049 + 21316689 = 498993^2 + 4617^2 .

It is a junction number, because it is equal to n+sod(n) for n = 249015330693 and 249015330702.

It is not an unprimeable number, because it can be changed into a prime (249015330731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682156 + ... + 981512.

Almost surely, 2^249015330738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249015330738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277280347500).

249015330738 is an abundant number, since it is smaller than the sum of its proper divisors (305545364262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249015330738 is a wasteful number, since it uses less digits than its factorization.

249015330738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300651 (or 300648 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 249015330738 in words is "two hundred forty-nine billion, fifteen million, three hundred thirty thousand, seven hundred thirty-eight".